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Finding the Fourth Proportional to 407.86, 611.60 and 176.74

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Solution

The fourth proportional to 407.86, 611.60 and 176.74 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 611.60 = 176.74 : x
  2. Step 2: Convert to fraction form
    407.86/611.60 = 176.74/x
  3. Step 3: Cross multiply
    407.86x = 611.60 × 176.74
  4. Step 4: Simplify right side
    407.86x = 108,094.18
  5. Step 5: Solve for x
    x = 108,094.18/407.86
  6. Step 6: Final answer
    x = 265.03

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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.