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Finding the Fourth Proportional to 348.32, 520.01 and 293.64

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Solution

The fourth proportional to 348.32, 520.01 and 293.64 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.32 : 520.01 = 293.64 : x
  2. Step 2: Convert to fraction form
    348.32/520.01 = 293.64/x
  3. Step 3: Cross multiply
    348.32x = 520.01 × 293.64
  4. Step 4: Simplify right side
    348.32x = 152,694.27
  5. Step 5: Solve for x
    x = 152,694.27/348.32
  6. Step 6: Final answer
    x = 438.37

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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.