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Finding the Fourth Proportional to 562.05, 842.95 and 215.30

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Solution

The fourth proportional to 562.05, 842.95 and 215.30 is: 322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 842.95 = 215.30 : x
  2. Step 2: Convert to fraction form
    562.05/842.95 = 215.30/x
  3. Step 3: Cross multiply
    562.05x = 842.95 × 215.30
  4. Step 4: Simplify right side
    562.05x = 181,486.06
  5. Step 5: Solve for x
    x = 181,486.06/562.05
  6. Step 6: Final answer
    x = 322.90

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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.