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Finding the Fourth Proportional to 306.63, 462.60 and 291.47

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Solution

The fourth proportional to 306.63, 462.60 and 291.47 is: 439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 462.60 = 291.47 : x
  2. Step 2: Convert to fraction form
    306.63/462.60 = 291.47/x
  3. Step 3: Cross multiply
    306.63x = 462.60 × 291.47
  4. Step 4: Simplify right side
    306.63x = 134,831.71
  5. Step 5: Solve for x
    x = 134,831.71/306.63
  6. Step 6: Final answer
    x = 439.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.