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Finding the Fourth Proportional to 334.53, 459.19 and 296.87

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Solution

The fourth proportional to 334.53, 459.19 and 296.87 is: 407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.53 : 459.19 = 296.87 : x
  2. Step 2: Convert to fraction form
    334.53/459.19 = 296.87/x
  3. Step 3: Cross multiply
    334.53x = 459.19 × 296.87
  4. Step 4: Simplify right side
    334.53x = 136,317.81
  5. Step 5: Solve for x
    x = 136,317.81/334.53
  6. Step 6: Final answer
    x = 407.49

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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.