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Finding the Fourth Proportional to 296.08, 405.69 and 291.76

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Solution

The fourth proportional to 296.08, 405.69 and 291.76 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.08 : 405.69 = 291.76 : x
  2. Step 2: Convert to fraction form
    296.08/405.69 = 291.76/x
  3. Step 3: Cross multiply
    296.08x = 405.69 × 291.76
  4. Step 4: Simplify right side
    296.08x = 118,364.11
  5. Step 5: Solve for x
    x = 118,364.11/296.08
  6. Step 6: Final answer
    x = 399.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.