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Finding the Fourth Proportional to 348.68, 520.58 and 287.94

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Solution

The fourth proportional to 348.68, 520.58 and 287.94 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 520.58 = 287.94 : x
  2. Step 2: Convert to fraction form
    348.68/520.58 = 287.94/x
  3. Step 3: Cross multiply
    348.68x = 520.58 × 287.94
  4. Step 4: Simplify right side
    348.68x = 149,895.81
  5. Step 5: Solve for x
    x = 149,895.81/348.68
  6. Step 6: Final answer
    x = 429.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.