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Finding the Fourth Proportional to 65.90, 99.36 and 55.83

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Solution

The fourth proportional to 65.90, 99.36 and 55.83 is: 84.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.90 : 99.36 = 55.83 : x
  2. Step 2: Convert to fraction form
    65.90/99.36 = 55.83/x
  3. Step 3: Cross multiply
    65.90x = 99.36 × 55.83
  4. Step 4: Simplify right side
    65.90x = 5,547.27
  5. Step 5: Solve for x
    x = 5,547.27/65.90
  6. Step 6: Final answer
    x = 84.17

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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.