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Finding the Fourth Proportional to 177.69, 265.10 and 148.99

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Solution

The fourth proportional to 177.69, 265.10 and 148.99 is: 222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.69 : 265.10 = 148.99 : x
  2. Step 2: Convert to fraction form
    177.69/265.10 = 148.99/x
  3. Step 3: Cross multiply
    177.69x = 265.10 × 148.99
  4. Step 4: Simplify right side
    177.69x = 39,496.76
  5. Step 5: Solve for x
    x = 39,496.76/177.69
  6. Step 6: Final answer
    x = 222.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.