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Finding the Fourth Proportional to 380.03, 572.10 and 346.01

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Solution

The fourth proportional to 380.03, 572.10 and 346.01 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 572.10 = 346.01 : x
  2. Step 2: Convert to fraction form
    380.03/572.10 = 346.01/x
  3. Step 3: Cross multiply
    380.03x = 572.10 × 346.01
  4. Step 4: Simplify right side
    380.03x = 197,948.16
  5. Step 5: Solve for x
    x = 197,948.16/380.03
  6. Step 6: Final answer
    x = 520.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.