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Finding the Fourth Proportional to 176.89, 265.35 and 65.69

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Solution

The fourth proportional to 176.89, 265.35 and 65.69 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.89 : 265.35 = 65.69 : x
  2. Step 2: Convert to fraction form
    176.89/265.35 = 65.69/x
  3. Step 3: Cross multiply
    176.89x = 265.35 × 65.69
  4. Step 4: Simplify right side
    176.89x = 17,430.34
  5. Step 5: Solve for x
    x = 17,430.34/176.89
  6. Step 6: Final answer
    x = 98.54

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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.