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Finding the Fourth Proportional to 302.63, 418.65 and 291.70

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Solution

The fourth proportional to 302.63, 418.65 and 291.70 is: 403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.63 : 418.65 = 291.70 : x
  2. Step 2: Convert to fraction form
    302.63/418.65 = 291.70/x
  3. Step 3: Cross multiply
    302.63x = 418.65 × 291.70
  4. Step 4: Simplify right side
    302.63x = 122,118.11
  5. Step 5: Solve for x
    x = 122,118.11/302.63
  6. Step 6: Final answer
    x = 403.52

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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.