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Finding the Fourth Proportional to 374.58, 565.44 and 372.42

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Solution

The fourth proportional to 374.58, 565.44 and 372.42 is: 562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.58 : 565.44 = 372.42 : x
  2. Step 2: Convert to fraction form
    374.58/565.44 = 372.42/x
  3. Step 3: Cross multiply
    374.58x = 565.44 × 372.42
  4. Step 4: Simplify right side
    374.58x = 210,581.16
  5. Step 5: Solve for x
    x = 210,581.16/374.58
  6. Step 6: Final answer
    x = 562.18

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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.