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Finding the Fourth Proportional to 165.64, 246.93 and 147.40

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Solution

The fourth proportional to 165.64, 246.93 and 147.40 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 246.93 = 147.40 : x
  2. Step 2: Convert to fraction form
    165.64/246.93 = 147.40/x
  3. Step 3: Cross multiply
    165.64x = 246.93 × 147.40
  4. Step 4: Simplify right side
    165.64x = 36,397.48
  5. Step 5: Solve for x
    x = 36,397.48/165.64
  6. Step 6: Final answer
    x = 219.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.