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Finding the Fourth Proportional to 165.84, 247.48 and 160.40

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Solution

The fourth proportional to 165.84, 247.48 and 160.40 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 247.48 = 160.40 : x
  2. Step 2: Convert to fraction form
    165.84/247.48 = 160.40/x
  3. Step 3: Cross multiply
    165.84x = 247.48 × 160.40
  4. Step 4: Simplify right side
    165.84x = 39,695.79
  5. Step 5: Solve for x
    x = 39,695.79/165.84
  6. Step 6: Final answer
    x = 239.36

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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.