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Finding the Fourth Proportional to 376.55, 518.74 and 358.02

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Solution

The fourth proportional to 376.55, 518.74 and 358.02 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.55 : 518.74 = 358.02 : x
  2. Step 2: Convert to fraction form
    376.55/518.74 = 358.02/x
  3. Step 3: Cross multiply
    376.55x = 518.74 × 358.02
  4. Step 4: Simplify right side
    376.55x = 185,714.91
  5. Step 5: Solve for x
    x = 185,714.91/376.55
  6. Step 6: Final answer
    x = 493.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.