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Finding the Fourth Proportional to 169.80, 253.23 and 153.40

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Solution

The fourth proportional to 169.80, 253.23 and 153.40 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 253.23 = 153.40 : x
  2. Step 2: Convert to fraction form
    169.80/253.23 = 153.40/x
  3. Step 3: Cross multiply
    169.80x = 253.23 × 153.40
  4. Step 4: Simplify right side
    169.80x = 38,845.61
  5. Step 5: Solve for x
    x = 38,845.61/169.80
  6. Step 6: Final answer
    x = 228.77

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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.