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Finding the Fourth Proportional to 390.96, 583.31 and 354.51

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Solution

The fourth proportional to 390.96, 583.31 and 354.51 is: 528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.96 : 583.31 = 354.51 : x
  2. Step 2: Convert to fraction form
    390.96/583.31 = 354.51/x
  3. Step 3: Cross multiply
    390.96x = 583.31 × 354.51
  4. Step 4: Simplify right side
    390.96x = 206,789.23
  5. Step 5: Solve for x
    x = 206,789.23/390.96
  6. Step 6: Final answer
    x = 528.93

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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.