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Finding the Fourth Proportional to 176.08, 262.86 and 153.02

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Solution

The fourth proportional to 176.08, 262.86 and 153.02 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 262.86 = 153.02 : x
  2. Step 2: Convert to fraction form
    176.08/262.86 = 153.02/x
  3. Step 3: Cross multiply
    176.08x = 262.86 × 153.02
  4. Step 4: Simplify right side
    176.08x = 40,220.76
  5. Step 5: Solve for x
    x = 40,220.76/176.08
  6. Step 6: Final answer
    x = 228.43

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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.