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Finding the Fourth Proportional to 351.84, 524.26 and 345.72

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Solution

The fourth proportional to 351.84, 524.26 and 345.72 is: 515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 524.26 = 345.72 : x
  2. Step 2: Convert to fraction form
    351.84/524.26 = 345.72/x
  3. Step 3: Cross multiply
    351.84x = 524.26 × 345.72
  4. Step 4: Simplify right side
    351.84x = 181,247.17
  5. Step 5: Solve for x
    x = 181,247.17/351.84
  6. Step 6: Final answer
    x = 515.14

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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.