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Finding the Fourth Proportional to 310.17, 465.12 and 280.02

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Solution

The fourth proportional to 310.17, 465.12 and 280.02 is: 419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.17 : 465.12 = 280.02 : x
  2. Step 2: Convert to fraction form
    310.17/465.12 = 280.02/x
  3. Step 3: Cross multiply
    310.17x = 465.12 × 280.02
  4. Step 4: Simplify right side
    310.17x = 130,242.90
  5. Step 5: Solve for x
    x = 130,242.90/310.17
  6. Step 6: Final answer
    x = 419.91

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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.