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Finding the Fourth Proportional to 372.39, 510.96 and 365.91

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Solution

The fourth proportional to 372.39, 510.96 and 365.91 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.39 : 510.96 = 365.91 : x
  2. Step 2: Convert to fraction form
    372.39/510.96 = 365.91/x
  3. Step 3: Cross multiply
    372.39x = 510.96 × 365.91
  4. Step 4: Simplify right side
    372.39x = 186,965.37
  5. Step 5: Solve for x
    x = 186,965.37/372.39
  6. Step 6: Final answer
    x = 502.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.