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Finding the Fourth Proportional to 302.45, 451.10 and 285.62

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Solution

The fourth proportional to 302.45, 451.10 and 285.62 is: 426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.45 : 451.10 = 285.62 : x
  2. Step 2: Convert to fraction form
    302.45/451.10 = 285.62/x
  3. Step 3: Cross multiply
    302.45x = 451.10 × 285.62
  4. Step 4: Simplify right side
    302.45x = 128,841.64
  5. Step 5: Solve for x
    x = 128,841.64/302.45
  6. Step 6: Final answer
    x = 426.00

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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.