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Finding the Fourth Proportional to 176.61, 264.68 and 165.06

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Solution

The fourth proportional to 176.61, 264.68 and 165.06 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 264.68 = 165.06 : x
  2. Step 2: Convert to fraction form
    176.61/264.68 = 165.06/x
  3. Step 3: Cross multiply
    176.61x = 264.68 × 165.06
  4. Step 4: Simplify right side
    176.61x = 43,688.08
  5. Step 5: Solve for x
    x = 43,688.08/176.61
  6. Step 6: Final answer
    x = 247.37

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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.