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Finding the Fourth Proportional to 306.08, 456.16 and 295.68

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Solution

The fourth proportional to 306.08, 456.16 and 295.68 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 456.16 = 295.68 : x
  2. Step 2: Convert to fraction form
    306.08/456.16 = 295.68/x
  3. Step 3: Cross multiply
    306.08x = 456.16 × 295.68
  4. Step 4: Simplify right side
    306.08x = 134,877.39
  5. Step 5: Solve for x
    x = 134,877.39/306.08
  6. Step 6: Final answer
    x = 440.66

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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.