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Finding the Fourth Proportional to 256.60, 346.41 and 256.60

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Solution

The fourth proportional to 256.60, 346.41 and 256.60 is: 346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 346.41 = 256.60 : x
  2. Step 2: Convert to fraction form
    256.60/346.41 = 256.60/x
  3. Step 3: Cross multiply
    256.60x = 346.41 × 256.60
  4. Step 4: Simplify right side
    256.60x = 88,888.81
  5. Step 5: Solve for x
    x = 88,888.81/256.60
  6. Step 6: Final answer
    x = 346.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.