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Finding the Fourth Proportional to 395.16, 545.16 and 290.46

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Solution

The fourth proportional to 395.16, 545.16 and 290.46 is: 400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 545.16 = 290.46 : x
  2. Step 2: Convert to fraction form
    395.16/545.16 = 290.46/x
  3. Step 3: Cross multiply
    395.16x = 545.16 × 290.46
  4. Step 4: Simplify right side
    395.16x = 158,347.17
  5. Step 5: Solve for x
    x = 158,347.17/395.16
  6. Step 6: Final answer
    x = 400.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.