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Finding the Fourth Proportional to 174.47, 260.19 and 152.91

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Solution

The fourth proportional to 174.47, 260.19 and 152.91 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 260.19 = 152.91 : x
  2. Step 2: Convert to fraction form
    174.47/260.19 = 152.91/x
  3. Step 3: Cross multiply
    174.47x = 260.19 × 152.91
  4. Step 4: Simplify right side
    174.47x = 39,783.59
  5. Step 5: Solve for x
    x = 39,783.59/174.47
  6. Step 6: Final answer
    x = 228.02

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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.