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Finding the Fourth Proportional to 374.86, 562.29 and 279.28

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Solution

The fourth proportional to 374.86, 562.29 and 279.28 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.86 : 562.29 = 279.28 : x
  2. Step 2: Convert to fraction form
    374.86/562.29 = 279.28/x
  3. Step 3: Cross multiply
    374.86x = 562.29 × 279.28
  4. Step 4: Simplify right side
    374.86x = 157,036.35
  5. Step 5: Solve for x
    x = 157,036.35/374.86
  6. Step 6: Final answer
    x = 418.92

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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.