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Finding the Fourth Proportional to 165.64, 248.40 and 57.42

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Solution

The fourth proportional to 165.64, 248.40 and 57.42 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 248.40 = 57.42 : x
  2. Step 2: Convert to fraction form
    165.64/248.40 = 57.42/x
  3. Step 3: Cross multiply
    165.64x = 248.40 × 57.42
  4. Step 4: Simplify right side
    165.64x = 14,263.13
  5. Step 5: Solve for x
    x = 14,263.13/165.64
  6. Step 6: Final answer
    x = 86.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.