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Finding the Fourth Proportional to 240.19, 331.47 and 152.77

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Solution

The fourth proportional to 240.19, 331.47 and 152.77 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.19 : 331.47 = 152.77 : x
  2. Step 2: Convert to fraction form
    240.19/331.47 = 152.77/x
  3. Step 3: Cross multiply
    240.19x = 331.47 × 152.77
  4. Step 4: Simplify right side
    240.19x = 50,638.67
  5. Step 5: Solve for x
    x = 50,638.67/240.19
  6. Step 6: Final answer
    x = 210.83

Related Problems

Find fourth proportional to 120.10, 165.74 and 76.39
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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.