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Finding the Fourth Proportional to 354.83, 530.97 and 245.16

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Solution

The fourth proportional to 354.83, 530.97 and 245.16 is: 366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.83 : 530.97 = 245.16 : x
  2. Step 2: Convert to fraction form
    354.83/530.97 = 245.16/x
  3. Step 3: Cross multiply
    354.83x = 530.97 × 245.16
  4. Step 4: Simplify right side
    354.83x = 130,172.61
  5. Step 5: Solve for x
    x = 130,172.61/354.83
  6. Step 6: Final answer
    x = 366.86

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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.