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Finding the Fourth Proportional to 407.64, 611.54 and 191.10

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Solution

The fourth proportional to 407.64, 611.54 and 191.10 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 611.54 = 191.10 : x
  2. Step 2: Convert to fraction form
    407.64/611.54 = 191.10/x
  3. Step 3: Cross multiply
    407.64x = 611.54 × 191.10
  4. Step 4: Simplify right side
    407.64x = 116,862.24
  5. Step 5: Solve for x
    x = 116,862.24/407.64
  6. Step 6: Final answer
    x = 286.68

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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.