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Finding the Fourth Proportional to 319.17, 440.07 and 234.77

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Solution

The fourth proportional to 319.17, 440.07 and 234.77 is: 323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 440.07 = 234.77 : x
  2. Step 2: Convert to fraction form
    319.17/440.07 = 234.77/x
  3. Step 3: Cross multiply
    319.17x = 440.07 × 234.77
  4. Step 4: Simplify right side
    319.17x = 103,313.03
  5. Step 5: Solve for x
    x = 103,313.03/319.17
  6. Step 6: Final answer
    x = 323.69

Related Problems

Find fourth proportional to 159.59, 220.04 and 117.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.