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Finding the Fourth Proportional to 309.84, 464.35 and 147.30

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Solution

The fourth proportional to 309.84, 464.35 and 147.30 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 464.35 = 147.30 : x
  2. Step 2: Convert to fraction form
    309.84/464.35 = 147.30/x
  3. Step 3: Cross multiply
    309.84x = 464.35 × 147.30
  4. Step 4: Simplify right side
    309.84x = 68,398.76
  5. Step 5: Solve for x
    x = 68,398.76/309.84
  6. Step 6: Final answer
    x = 220.76

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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.