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Finding the Fourth Proportional to 364.71, 502.52 and 290.90

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Solution

The fourth proportional to 364.71, 502.52 and 290.90 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 502.52 = 290.90 : x
  2. Step 2: Convert to fraction form
    364.71/502.52 = 290.90/x
  3. Step 3: Cross multiply
    364.71x = 502.52 × 290.90
  4. Step 4: Simplify right side
    364.71x = 146,182.87
  5. Step 5: Solve for x
    x = 146,182.87/364.71
  6. Step 6: Final answer
    x = 400.82

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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.