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Finding the Fourth Proportional to 348.48, 524.16 and 305.28

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Solution

The fourth proportional to 348.48, 524.16 and 305.28 is: 459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 524.16 = 305.28 : x
  2. Step 2: Convert to fraction form
    348.48/524.16 = 305.28/x
  3. Step 3: Cross multiply
    348.48x = 524.16 × 305.28
  4. Step 4: Simplify right side
    348.48x = 160,015.56
  5. Step 5: Solve for x
    x = 160,015.56/348.48
  6. Step 6: Final answer
    x = 459.18

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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.