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Finding the Fourth Proportional to 460.07, 689.93 and 151.83

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Solution

The fourth proportional to 460.07, 689.93 and 151.83 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.07 : 689.93 = 151.83 : x
  2. Step 2: Convert to fraction form
    460.07/689.93 = 151.83/x
  3. Step 3: Cross multiply
    460.07x = 689.93 × 151.83
  4. Step 4: Simplify right side
    460.07x = 104,747.86
  5. Step 5: Solve for x
    x = 104,747.86/460.07
  6. Step 6: Final answer
    x = 227.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.