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Finding the Fourth Proportional to 306.69, 457.80 and 284.13

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Solution

The fourth proportional to 306.69, 457.80 and 284.13 is: 424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 457.80 = 284.13 : x
  2. Step 2: Convert to fraction form
    306.69/457.80 = 284.13/x
  3. Step 3: Cross multiply
    306.69x = 457.80 × 284.13
  4. Step 4: Simplify right side
    306.69x = 130,074.71
  5. Step 5: Solve for x
    x = 130,074.71/306.69
  6. Step 6: Final answer
    x = 424.12

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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.