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Finding the Fourth Proportional to 256.79, 383.20 and 229.45

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Solution

The fourth proportional to 256.79, 383.20 and 229.45 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 383.20 = 229.45 : x
  2. Step 2: Convert to fraction form
    256.79/383.20 = 229.45/x
  3. Step 3: Cross multiply
    256.79x = 383.20 × 229.45
  4. Step 4: Simplify right side
    256.79x = 87,925.24
  5. Step 5: Solve for x
    x = 87,925.24/256.79
  6. Step 6: Final answer
    x = 342.40

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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.