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Finding the Fourth Proportional to 502.36, 752.64 and 339.88

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Solution

The fourth proportional to 502.36, 752.64 and 339.88 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.36 : 752.64 = 339.88 : x
  2. Step 2: Convert to fraction form
    502.36/752.64 = 339.88/x
  3. Step 3: Cross multiply
    502.36x = 752.64 × 339.88
  4. Step 4: Simplify right side
    502.36x = 255,807.28
  5. Step 5: Solve for x
    x = 255,807.28/502.36
  6. Step 6: Final answer
    x = 509.21

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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.