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Finding the Fourth Proportional to 65.51, 90.38 and 61.14

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Solution

The fourth proportional to 65.51, 90.38 and 61.14 is: 84.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.51 : 90.38 = 61.14 : x
  2. Step 2: Convert to fraction form
    65.51/90.38 = 61.14/x
  3. Step 3: Cross multiply
    65.51x = 90.38 × 61.14
  4. Step 4: Simplify right side
    65.51x = 5,525.53
  5. Step 5: Solve for x
    x = 5,525.53/65.51
  6. Step 6: Final answer
    x = 84.35

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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.