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Finding the Fourth Proportional to 508.08, 700.76 and 342

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Solution

The fourth proportional to 508.08, 700.76 and 342 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 700.76 = 342 : x
  2. Step 2: Convert to fraction form
    508.08/700.76 = 342/x
  3. Step 3: Cross multiply
    508.08x = 700.76 × 342
  4. Step 4: Simplify right side
    508.08x = 239,659.92
  5. Step 5: Solve for x
    x = 239,659.92/508.08
  6. Step 6: Final answer
    x = 471.70

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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.