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Finding the Fourth Proportional to 65.04, 97.08 and 56.08

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Solution

The fourth proportional to 65.04, 97.08 and 56.08 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.04 : 97.08 = 56.08 : x
  2. Step 2: Convert to fraction form
    65.04/97.08 = 56.08/x
  3. Step 3: Cross multiply
    65.04x = 97.08 × 56.08
  4. Step 4: Simplify right side
    65.04x = 5,444.25
  5. Step 5: Solve for x
    x = 5,444.25/65.04
  6. Step 6: Final answer
    x = 83.71

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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.