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Finding the Fourth Proportional to 334.64, 502.10 and 288.48

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Solution

The fourth proportional to 334.64, 502.10 and 288.48 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.64 : 502.10 = 288.48 : x
  2. Step 2: Convert to fraction form
    334.64/502.10 = 288.48/x
  3. Step 3: Cross multiply
    334.64x = 502.10 × 288.48
  4. Step 4: Simplify right side
    334.64x = 144,845.81
  5. Step 5: Solve for x
    x = 144,845.81/334.64
  6. Step 6: Final answer
    x = 432.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.