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Finding the Fourth Proportional to 97.84, 135.09 and 65.17

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Solution

The fourth proportional to 97.84, 135.09 and 65.17 is: 89.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 135.09 = 65.17 : x
  2. Step 2: Convert to fraction form
    97.84/135.09 = 65.17/x
  3. Step 3: Cross multiply
    97.84x = 135.09 × 65.17
  4. Step 4: Simplify right side
    97.84x = 8,802.81
  5. Step 5: Solve for x
    x = 8,802.81/97.84
  6. Step 6: Final answer
    x = 89.98

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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.