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Finding the Fourth Proportional to 256.61, 386.57 and 243.87

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Solution

The fourth proportional to 256.61, 386.57 and 243.87 is: 367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.61 : 386.57 = 243.87 : x
  2. Step 2: Convert to fraction form
    256.61/386.57 = 243.87/x
  3. Step 3: Cross multiply
    256.61x = 386.57 × 243.87
  4. Step 4: Simplify right side
    256.61x = 94,271.61
  5. Step 5: Solve for x
    x = 94,271.61/256.61
  6. Step 6: Final answer
    x = 367.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.