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Finding the Fourth Proportional to 355.56, 530.78 and 309.42

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Solution

The fourth proportional to 355.56, 530.78 and 309.42 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.56 : 530.78 = 309.42 : x
  2. Step 2: Convert to fraction form
    355.56/530.78 = 309.42/x
  3. Step 3: Cross multiply
    355.56x = 530.78 × 309.42
  4. Step 4: Simplify right side
    355.56x = 164,233.95
  5. Step 5: Solve for x
    x = 164,233.95/355.56
  6. Step 6: Final answer
    x = 461.90

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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.