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Finding the Fourth Proportional to 310.08, 462.24 and 287.04

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Solution

The fourth proportional to 310.08, 462.24 and 287.04 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 462.24 = 287.04 : x
  2. Step 2: Convert to fraction form
    310.08/462.24 = 287.04/x
  3. Step 3: Cross multiply
    310.08x = 462.24 × 287.04
  4. Step 4: Simplify right side
    310.08x = 132,681.37
  5. Step 5: Solve for x
    x = 132,681.37/310.08
  6. Step 6: Final answer
    x = 427.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.