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Finding the Fourth Proportional to 265.82, 366.86 and 153.81

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Solution

The fourth proportional to 265.82, 366.86 and 153.81 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 366.86 = 153.81 : x
  2. Step 2: Convert to fraction form
    265.82/366.86 = 153.81/x
  3. Step 3: Cross multiply
    265.82x = 366.86 × 153.81
  4. Step 4: Simplify right side
    265.82x = 56,426.74
  5. Step 5: Solve for x
    x = 56,426.74/265.82
  6. Step 6: Final answer
    x = 212.27

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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.