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Finding the Fourth Proportional to 373.69, 562.51 and 287.50

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Solution

The fourth proportional to 373.69, 562.51 and 287.50 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.69 : 562.51 = 287.50 : x
  2. Step 2: Convert to fraction form
    373.69/562.51 = 287.50/x
  3. Step 3: Cross multiply
    373.69x = 562.51 × 287.50
  4. Step 4: Simplify right side
    373.69x = 161,721.63
  5. Step 5: Solve for x
    x = 161,721.63/373.69
  6. Step 6: Final answer
    x = 432.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.