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Finding the Fourth Proportional to 342.49, 510.49 and 331.24

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Solution

The fourth proportional to 342.49, 510.49 and 331.24 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.49 : 510.49 = 331.24 : x
  2. Step 2: Convert to fraction form
    342.49/510.49 = 331.24/x
  3. Step 3: Cross multiply
    342.49x = 510.49 × 331.24
  4. Step 4: Simplify right side
    342.49x = 169,094.71
  5. Step 5: Solve for x
    x = 169,094.71/342.49
  6. Step 6: Final answer
    x = 493.72

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.