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Finding the Fourth Proportional to 261.24, 389.43 and 260.28

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Solution

The fourth proportional to 261.24, 389.43 and 260.28 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 389.43 = 260.28 : x
  2. Step 2: Convert to fraction form
    261.24/389.43 = 260.28/x
  3. Step 3: Cross multiply
    261.24x = 389.43 × 260.28
  4. Step 4: Simplify right side
    261.24x = 101,360.84
  5. Step 5: Solve for x
    x = 101,360.84/261.24
  6. Step 6: Final answer
    x = 388.00

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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.