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Finding the Fourth Proportional to 60.10, 89.90 and 49.20

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Solution

The fourth proportional to 60.10, 89.90 and 49.20 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.10 : 89.90 = 49.20 : x
  2. Step 2: Convert to fraction form
    60.10/89.90 = 49.20/x
  3. Step 3: Cross multiply
    60.10x = 89.90 × 49.20
  4. Step 4: Simplify right side
    60.10x = 4,423.08
  5. Step 5: Solve for x
    x = 4,423.08/60.10
  6. Step 6: Final answer
    x = 73.60

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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.