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Finding the Fourth Proportional to 354.27, 530.31 and 215.07

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Solution

The fourth proportional to 354.27, 530.31 and 215.07 is: 321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.27 : 530.31 = 215.07 : x
  2. Step 2: Convert to fraction form
    354.27/530.31 = 215.07/x
  3. Step 3: Cross multiply
    354.27x = 530.31 × 215.07
  4. Step 4: Simplify right side
    354.27x = 114,053.77
  5. Step 5: Solve for x
    x = 114,053.77/354.27
  6. Step 6: Final answer
    x = 321.94

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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.