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Finding the Fourth Proportional to 65.64, 97.98 and 57.99

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Solution

The fourth proportional to 65.64, 97.98 and 57.99 is: 86.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 97.98 = 57.99 : x
  2. Step 2: Convert to fraction form
    65.64/97.98 = 57.99/x
  3. Step 3: Cross multiply
    65.64x = 97.98 × 57.99
  4. Step 4: Simplify right side
    65.64x = 5,681.86
  5. Step 5: Solve for x
    x = 5,681.86/65.64
  6. Step 6: Final answer
    x = 86.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.