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Finding the Fourth Proportional to 265.42, 365.98 and 186.72

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Solution

The fourth proportional to 265.42, 365.98 and 186.72 is: 257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 365.98 = 186.72 : x
  2. Step 2: Convert to fraction form
    265.42/365.98 = 186.72/x
  3. Step 3: Cross multiply
    265.42x = 365.98 × 186.72
  4. Step 4: Simplify right side
    265.42x = 68,335.79
  5. Step 5: Solve for x
    x = 68,335.79/265.42
  6. Step 6: Final answer
    x = 257.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.