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Finding the Fourth Proportional to 302.23, 453.68 and 282.40

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Solution

The fourth proportional to 302.23, 453.68 and 282.40 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 453.68 = 282.40 : x
  2. Step 2: Convert to fraction form
    302.23/453.68 = 282.40/x
  3. Step 3: Cross multiply
    302.23x = 453.68 × 282.40
  4. Step 4: Simplify right side
    302.23x = 128,115.55
  5. Step 5: Solve for x
    x = 128,115.55/302.23
  6. Step 6: Final answer
    x = 423.91

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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.