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Finding the Fourth Proportional to 390.83, 583.20 and 356.34

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Solution

The fourth proportional to 390.83, 583.20 and 356.34 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.83 : 583.20 = 356.34 : x
  2. Step 2: Convert to fraction form
    390.83/583.20 = 356.34/x
  3. Step 3: Cross multiply
    390.83x = 583.20 × 356.34
  4. Step 4: Simplify right side
    390.83x = 207,817.49
  5. Step 5: Solve for x
    x = 207,817.49/390.83
  6. Step 6: Final answer
    x = 531.74

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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.