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Finding the Fourth Proportional to 582.21, 873.08 and 235.48

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Solution

The fourth proportional to 582.21, 873.08 and 235.48 is: 353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.21 : 873.08 = 235.48 : x
  2. Step 2: Convert to fraction form
    582.21/873.08 = 235.48/x
  3. Step 3: Cross multiply
    582.21x = 873.08 × 235.48
  4. Step 4: Simplify right side
    582.21x = 205,587.34
  5. Step 5: Solve for x
    x = 205,587.34/582.21
  6. Step 6: Final answer
    x = 353.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.