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Finding the Fourth Proportional to 389.36, 587.10 and 357.08

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Solution

The fourth proportional to 389.36, 587.10 and 357.08 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.36 : 587.10 = 357.08 : x
  2. Step 2: Convert to fraction form
    389.36/587.10 = 357.08/x
  3. Step 3: Cross multiply
    389.36x = 587.10 × 357.08
  4. Step 4: Simplify right side
    389.36x = 209,641.67
  5. Step 5: Solve for x
    x = 209,641.67/389.36
  6. Step 6: Final answer
    x = 538.43

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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.