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Finding the Fourth Proportional to 334.71, 501.57 and 257.70

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Solution

The fourth proportional to 334.71, 501.57 and 257.70 is: 386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 501.57 = 257.70 : x
  2. Step 2: Convert to fraction form
    334.71/501.57 = 257.70/x
  3. Step 3: Cross multiply
    334.71x = 501.57 × 257.70
  4. Step 4: Simplify right side
    334.71x = 129,254.59
  5. Step 5: Solve for x
    x = 129,254.59/334.71
  6. Step 6: Final answer
    x = 386.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.