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Finding the Fourth Proportional to 341.21, 471.29 and 296.86

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Solution

The fourth proportional to 341.21, 471.29 and 296.86 is: 410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 471.29 = 296.86 : x
  2. Step 2: Convert to fraction form
    341.21/471.29 = 296.86/x
  3. Step 3: Cross multiply
    341.21x = 471.29 × 296.86
  4. Step 4: Simplify right side
    341.21x = 139,904.79
  5. Step 5: Solve for x
    x = 139,904.79/341.21
  6. Step 6: Final answer
    x = 410.03

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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.