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Finding the Fourth Proportional to 154.90, 232.36 and 46.70

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Solution

The fourth proportional to 154.90, 232.36 and 46.70 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 232.36 = 46.70 : x
  2. Step 2: Convert to fraction form
    154.90/232.36 = 46.70/x
  3. Step 3: Cross multiply
    154.90x = 232.36 × 46.70
  4. Step 4: Simplify right side
    154.90x = 10,851.21
  5. Step 5: Solve for x
    x = 10,851.21/154.90
  6. Step 6: Final answer
    x = 70.05

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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.