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Finding the Fourth Proportional to 175.07, 261.32 and 162.39

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Solution

The fourth proportional to 175.07, 261.32 and 162.39 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.07 : 261.32 = 162.39 : x
  2. Step 2: Convert to fraction form
    175.07/261.32 = 162.39/x
  3. Step 3: Cross multiply
    175.07x = 261.32 × 162.39
  4. Step 4: Simplify right side
    175.07x = 42,434.94
  5. Step 5: Solve for x
    x = 42,434.94/175.07
  6. Step 6: Final answer
    x = 242.40

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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.