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Finding the Fourth Proportional to 58.89, 80.78 and 55.40

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Solution

The fourth proportional to 58.89, 80.78 and 55.40 is: 75.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.89 : 80.78 = 55.40 : x
  2. Step 2: Convert to fraction form
    58.89/80.78 = 55.40/x
  3. Step 3: Cross multiply
    58.89x = 80.78 × 55.40
  4. Step 4: Simplify right side
    58.89x = 4,474.53
  5. Step 5: Solve for x
    x = 4,474.53/58.89
  6. Step 6: Final answer
    x = 75.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.