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Finding the Fourth Proportional to 420.61, 630.57 and 160.55

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Solution

The fourth proportional to 420.61, 630.57 and 160.55 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.61 : 630.57 = 160.55 : x
  2. Step 2: Convert to fraction form
    420.61/630.57 = 160.55/x
  3. Step 3: Cross multiply
    420.61x = 630.57 × 160.55
  4. Step 4: Simplify right side
    420.61x = 101,238.01
  5. Step 5: Solve for x
    x = 101,238.01/420.61
  6. Step 6: Final answer
    x = 240.69

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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.