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Finding the Fourth Proportional to 374.20, 561.30 and 117.70

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Solution

The fourth proportional to 374.20, 561.30 and 117.70 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 561.30 = 117.70 : x
  2. Step 2: Convert to fraction form
    374.20/561.30 = 117.70/x
  3. Step 3: Cross multiply
    374.20x = 561.30 × 117.70
  4. Step 4: Simplify right side
    374.20x = 66,067.32
  5. Step 5: Solve for x
    x = 66,067.32/374.20
  6. Step 6: Final answer
    x = 176.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.