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Finding the Fourth Proportional to 58.42, 80.72 and 49.20

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Solution

The fourth proportional to 58.42, 80.72 and 49.20 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.42 : 80.72 = 49.20 : x
  2. Step 2: Convert to fraction form
    58.42/80.72 = 49.20/x
  3. Step 3: Cross multiply
    58.42x = 80.72 × 49.20
  4. Step 4: Simplify right side
    58.42x = 3,971.42
  5. Step 5: Solve for x
    x = 3,971.42/58.42
  6. Step 6: Final answer
    x = 67.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.