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Finding the Fourth Proportional to 177.07, 265.45 and 90.30

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Solution

The fourth proportional to 177.07, 265.45 and 90.30 is: 135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.07 : 265.45 = 90.30 : x
  2. Step 2: Convert to fraction form
    177.07/265.45 = 90.30/x
  3. Step 3: Cross multiply
    177.07x = 265.45 × 90.30
  4. Step 4: Simplify right side
    177.07x = 23,970.14
  5. Step 5: Solve for x
    x = 23,970.14/177.07
  6. Step 6: Final answer
    x = 135.37

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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.