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Finding the Fourth Proportional to 374.27, 560.19 and 322.43

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Solution

The fourth proportional to 374.27, 560.19 and 322.43 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.27 : 560.19 = 322.43 : x
  2. Step 2: Convert to fraction form
    374.27/560.19 = 322.43/x
  3. Step 3: Cross multiply
    374.27x = 560.19 × 322.43
  4. Step 4: Simplify right side
    374.27x = 180,622.06
  5. Step 5: Solve for x
    x = 180,622.06/374.27
  6. Step 6: Final answer
    x = 482.60

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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.