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Finding the Fourth Proportional to 64.90, 97.81 and 57.16

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Solution

The fourth proportional to 64.90, 97.81 and 57.16 is: 86.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 97.81 = 57.16 : x
  2. Step 2: Convert to fraction form
    64.90/97.81 = 57.16/x
  3. Step 3: Cross multiply
    64.90x = 97.81 × 57.16
  4. Step 4: Simplify right side
    64.90x = 5,590.82
  5. Step 5: Solve for x
    x = 5,590.82/64.90
  6. Step 6: Final answer
    x = 86.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.