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Finding the Fourth Proportional to 420.67, 580.53 and 234.19

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Solution

The fourth proportional to 420.67, 580.53 and 234.19 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.67 : 580.53 = 234.19 : x
  2. Step 2: Convert to fraction form
    420.67/580.53 = 234.19/x
  3. Step 3: Cross multiply
    420.67x = 580.53 × 234.19
  4. Step 4: Simplify right side
    420.67x = 135,954.32
  5. Step 5: Solve for x
    x = 135,954.32/420.67
  6. Step 6: Final answer
    x = 323.19

Related Problems

Find fourth proportional to 210.34, 290.27 and 117.10
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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.