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Finding the Fourth Proportional to 395.60, 545.65 and 302.18

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Solution

The fourth proportional to 395.60, 545.65 and 302.18 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 545.65 = 302.18 : x
  2. Step 2: Convert to fraction form
    395.60/545.65 = 302.18/x
  3. Step 3: Cross multiply
    395.60x = 545.65 × 302.18
  4. Step 4: Simplify right side
    395.60x = 164,885.10
  5. Step 5: Solve for x
    x = 164,885.10/395.60
  6. Step 6: Final answer
    x = 416.80

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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.