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Finding the Fourth Proportional to 616.18, 923.93 and 205.21

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Solution

The fourth proportional to 616.18, 923.93 and 205.21 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.18 : 923.93 = 205.21 : x
  2. Step 2: Convert to fraction form
    616.18/923.93 = 205.21/x
  3. Step 3: Cross multiply
    616.18x = 923.93 × 205.21
  4. Step 4: Simplify right side
    616.18x = 189,598.55
  5. Step 5: Solve for x
    x = 189,598.55/616.18
  6. Step 6: Final answer
    x = 307.70

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Double scale
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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.