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Finding the Fourth Proportional to 615.76, 923.48 and 204.88

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Solution

The fourth proportional to 615.76, 923.48 and 204.88 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.76 : 923.48 = 204.88 : x
  2. Step 2: Convert to fraction form
    615.76/923.48 = 204.88/x
  3. Step 3: Cross multiply
    615.76x = 923.48 × 204.88
  4. Step 4: Simplify right side
    615.76x = 189,202.58
  5. Step 5: Solve for x
    x = 189,202.58/615.76
  6. Step 6: Final answer
    x = 307.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.