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Finding the Fourth Proportional to 261.36, 389.70 and 256.50

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Solution

The fourth proportional to 261.36, 389.70 and 256.50 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 389.70 = 256.50 : x
  2. Step 2: Convert to fraction form
    261.36/389.70 = 256.50/x
  3. Step 3: Cross multiply
    261.36x = 389.70 × 256.50
  4. Step 4: Simplify right side
    261.36x = 99,958.05
  5. Step 5: Solve for x
    x = 99,958.05/261.36
  6. Step 6: Final answer
    x = 382.45

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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.