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Finding the Fourth Proportional to 374.79, 561.65 and 282.18

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Solution

The fourth proportional to 374.79, 561.65 and 282.18 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.79 : 561.65 = 282.18 : x
  2. Step 2: Convert to fraction form
    374.79/561.65 = 282.18/x
  3. Step 3: Cross multiply
    374.79x = 561.65 × 282.18
  4. Step 4: Simplify right side
    374.79x = 158,484.47
  5. Step 5: Solve for x
    x = 158,484.47/374.79
  6. Step 6: Final answer
    x = 422.87

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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.