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Finding the Fourth Proportional to 191.36, 288.05 and 148.25

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Solution

The fourth proportional to 191.36, 288.05 and 148.25 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 288.05 = 148.25 : x
  2. Step 2: Convert to fraction form
    191.36/288.05 = 148.25/x
  3. Step 3: Cross multiply
    191.36x = 288.05 × 148.25
  4. Step 4: Simplify right side
    191.36x = 42,703.41
  5. Step 5: Solve for x
    x = 42,703.41/191.36
  6. Step 6: Final answer
    x = 223.16

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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.