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Finding the Fourth Proportional to 174.72, 260.64 and 153.12

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Solution

The fourth proportional to 174.72, 260.64 and 153.12 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.72 : 260.64 = 153.12 : x
  2. Step 2: Convert to fraction form
    174.72/260.64 = 153.12/x
  3. Step 3: Cross multiply
    174.72x = 260.64 × 153.12
  4. Step 4: Simplify right side
    174.72x = 39,909.20
  5. Step 5: Solve for x
    x = 39,909.20/174.72
  6. Step 6: Final answer
    x = 228.42

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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.