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Finding the Fourth Proportional to 175.74, 264.63 and 153.18

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Solution

The fourth proportional to 175.74, 264.63 and 153.18 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 264.63 = 153.18 : x
  2. Step 2: Convert to fraction form
    175.74/264.63 = 153.18/x
  3. Step 3: Cross multiply
    175.74x = 264.63 × 153.18
  4. Step 4: Simplify right side
    175.74x = 40,536.02
  5. Step 5: Solve for x
    x = 40,536.02/175.74
  6. Step 6: Final answer
    x = 230.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.