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Finding the Fourth Proportional to 433.23, 652.77 and 357.88

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Solution

The fourth proportional to 433.23, 652.77 and 357.88 is: 539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 652.77 = 357.88 : x
  2. Step 2: Convert to fraction form
    433.23/652.77 = 357.88/x
  3. Step 3: Cross multiply
    433.23x = 652.77 × 357.88
  4. Step 4: Simplify right side
    433.23x = 233,612.43
  5. Step 5: Solve for x
    x = 233,612.43/433.23
  6. Step 6: Final answer
    x = 539.23

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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.