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Finding the Fourth Proportional to 545.13, 817.61 and 215.93

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Solution

The fourth proportional to 545.13, 817.61 and 215.93 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.13 : 817.61 = 215.93 : x
  2. Step 2: Convert to fraction form
    545.13/817.61 = 215.93/x
  3. Step 3: Cross multiply
    545.13x = 817.61 × 215.93
  4. Step 4: Simplify right side
    545.13x = 176,547.49
  5. Step 5: Solve for x
    x = 176,547.49/545.13
  6. Step 6: Final answer
    x = 323.86

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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.