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Finding the Fourth Proportional to 302.59, 416.73 and 286.95

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Solution

The fourth proportional to 302.59, 416.73 and 286.95 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.59 : 416.73 = 286.95 : x
  2. Step 2: Convert to fraction form
    302.59/416.73 = 286.95/x
  3. Step 3: Cross multiply
    302.59x = 416.73 × 286.95
  4. Step 4: Simplify right side
    302.59x = 119,580.67
  5. Step 5: Solve for x
    x = 119,580.67/302.59
  6. Step 6: Final answer
    x = 395.19

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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.