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Finding the Fourth Proportional to 261.29, 388.77 and 260.35

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Solution

The fourth proportional to 261.29, 388.77 and 260.35 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.29 : 388.77 = 260.35 : x
  2. Step 2: Convert to fraction form
    261.29/388.77 = 260.35/x
  3. Step 3: Cross multiply
    261.29x = 388.77 × 260.35
  4. Step 4: Simplify right side
    261.29x = 101,214.32
  5. Step 5: Solve for x
    x = 101,214.32/261.29
  6. Step 6: Final answer
    x = 387.36

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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.