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Finding the Fourth Proportional to 58.10, 80.16 and 38.70

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Solution

The fourth proportional to 58.10, 80.16 and 38.70 is: 53.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.10 : 80.16 = 38.70 : x
  2. Step 2: Convert to fraction form
    58.10/80.16 = 38.70/x
  3. Step 3: Cross multiply
    58.10x = 80.16 × 38.70
  4. Step 4: Simplify right side
    58.10x = 3,102.19
  5. Step 5: Solve for x
    x = 3,102.19/58.10
  6. Step 6: Final answer
    x = 53.39

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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.