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Finding the Fourth Proportional to 310.40, 464.85 and 156.13

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Solution

The fourth proportional to 310.40, 464.85 and 156.13 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 464.85 = 156.13 : x
  2. Step 2: Convert to fraction form
    310.40/464.85 = 156.13/x
  3. Step 3: Cross multiply
    310.40x = 464.85 × 156.13
  4. Step 4: Simplify right side
    310.40x = 72,577.03
  5. Step 5: Solve for x
    x = 72,577.03/310.40
  6. Step 6: Final answer
    x = 233.82

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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.