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Finding the Fourth Proportional to 277.16, 381.71 and 260.15

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Solution

The fourth proportional to 277.16, 381.71 and 260.15 is: 358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 381.71 = 260.15 : x
  2. Step 2: Convert to fraction form
    277.16/381.71 = 260.15/x
  3. Step 3: Cross multiply
    277.16x = 381.71 × 260.15
  4. Step 4: Simplify right side
    277.16x = 99,300.60
  5. Step 5: Solve for x
    x = 99,300.60/277.16
  6. Step 6: Final answer
    x = 358.29

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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.