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Finding the Fourth Proportional to 261.84, 390.62 and 260.01

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Solution

The fourth proportional to 261.84, 390.62 and 260.01 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 390.62 = 260.01 : x
  2. Step 2: Convert to fraction form
    261.84/390.62 = 260.01/x
  3. Step 3: Cross multiply
    261.84x = 390.62 × 260.01
  4. Step 4: Simplify right side
    261.84x = 101,565.11
  5. Step 5: Solve for x
    x = 101,565.11/261.84
  6. Step 6: Final answer
    x = 387.89

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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.