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Finding the Fourth Proportional to 174.47, 239.45 and 158.00

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Solution

The fourth proportional to 174.47, 239.45 and 158.00 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 239.45 = 158.00 : x
  2. Step 2: Convert to fraction form
    174.47/239.45 = 158.00/x
  3. Step 3: Cross multiply
    174.47x = 239.45 × 158.00
  4. Step 4: Simplify right side
    174.47x = 37,831.11
  5. Step 5: Solve for x
    x = 37,831.11/174.47
  6. Step 6: Final answer
    x = 216.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.