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Finding the Fourth Proportional to 306.66, 457.58 and 296.22

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Solution

The fourth proportional to 306.66, 457.58 and 296.22 is: 442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.66 : 457.58 = 296.22 : x
  2. Step 2: Convert to fraction form
    306.66/457.58 = 296.22/x
  3. Step 3: Cross multiply
    306.66x = 457.58 × 296.22
  4. Step 4: Simplify right side
    306.66x = 135,542.87
  5. Step 5: Solve for x
    x = 135,542.87/306.66
  6. Step 6: Final answer
    x = 442.00

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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.