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Finding the Fourth Proportional to 311.04, 464.64 and 284.16

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Solution

The fourth proportional to 311.04, 464.64 and 284.16 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 464.64 = 284.16 : x
  2. Step 2: Convert to fraction form
    311.04/464.64 = 284.16/x
  3. Step 3: Cross multiply
    311.04x = 464.64 × 284.16
  4. Step 4: Simplify right side
    311.04x = 132,032.10
  5. Step 5: Solve for x
    x = 132,032.10/311.04
  6. Step 6: Final answer
    x = 424.49

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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.