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Finding the Fourth Proportional to 191.58, 288.53 and 169.01

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Solution

The fourth proportional to 191.58, 288.53 and 169.01 is: 254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 288.53 = 169.01 : x
  2. Step 2: Convert to fraction form
    191.58/288.53 = 169.01/x
  3. Step 3: Cross multiply
    191.58x = 288.53 × 169.01
  4. Step 4: Simplify right side
    191.58x = 48,762.17
  5. Step 5: Solve for x
    x = 48,762.17/191.58
  6. Step 6: Final answer
    x = 254.53

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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.