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Finding the Fourth Proportional to 261.45, 390.12 and 259.93

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Solution

The fourth proportional to 261.45, 390.12 and 259.93 is: 387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 390.12 = 259.93 : x
  2. Step 2: Convert to fraction form
    261.45/390.12 = 259.93/x
  3. Step 3: Cross multiply
    261.45x = 390.12 × 259.93
  4. Step 4: Simplify right side
    261.45x = 101,401.94
  5. Step 5: Solve for x
    x = 101,401.94/261.45
  6. Step 6: Final answer
    x = 387.85

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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.