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Finding the Fourth Proportional to 62.40, 86.16 and 57.60

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Solution

The fourth proportional to 62.40, 86.16 and 57.60 is: 79.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 86.16 = 57.60 : x
  2. Step 2: Convert to fraction form
    62.40/86.16 = 57.60/x
  3. Step 3: Cross multiply
    62.40x = 86.16 × 57.60
  4. Step 4: Simplify right side
    62.40x = 4,962.82
  5. Step 5: Solve for x
    x = 4,962.82/62.40
  6. Step 6: Final answer
    x = 79.53

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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.