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Finding the Fourth Proportional to 261.10, 389.62 and 259.30

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Solution

The fourth proportional to 261.10, 389.62 and 259.30 is: 386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 389.62 = 259.30 : x
  2. Step 2: Convert to fraction form
    261.10/389.62 = 259.30/x
  3. Step 3: Cross multiply
    261.10x = 389.62 × 259.30
  4. Step 4: Simplify right side
    261.10x = 101,028.47
  5. Step 5: Solve for x
    x = 101,028.47/261.10
  6. Step 6: Final answer
    x = 386.93

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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.