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Finding the Fourth Proportional to 348.02, 522.02 and 155.50

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Solution

The fourth proportional to 348.02, 522.02 and 155.50 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 522.02 = 155.50 : x
  2. Step 2: Convert to fraction form
    348.02/522.02 = 155.50/x
  3. Step 3: Cross multiply
    348.02x = 522.02 × 155.50
  4. Step 4: Simplify right side
    348.02x = 81,174.11
  5. Step 5: Solve for x
    x = 81,174.11/348.02
  6. Step 6: Final answer
    x = 233.25

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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.