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Finding the Fourth Proportional to 380.19, 572.34 and 340.50

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Solution

The fourth proportional to 380.19, 572.34 and 340.50 is: 512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 572.34 = 340.50 : x
  2. Step 2: Convert to fraction form
    380.19/572.34 = 340.50/x
  3. Step 3: Cross multiply
    380.19x = 572.34 × 340.50
  4. Step 4: Simplify right side
    380.19x = 194,881.77
  5. Step 5: Solve for x
    x = 194,881.77/380.19
  6. Step 6: Final answer
    x = 512.59

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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.