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Finding the Fourth Proportional to 555.61, 833.10 and 258.80

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Solution

The fourth proportional to 555.61, 833.10 and 258.80 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.61 : 833.10 = 258.80 : x
  2. Step 2: Convert to fraction form
    555.61/833.10 = 258.80/x
  3. Step 3: Cross multiply
    555.61x = 833.10 × 258.80
  4. Step 4: Simplify right side
    555.61x = 215,606.28
  5. Step 5: Solve for x
    x = 215,606.28/555.61
  6. Step 6: Final answer
    x = 388.05

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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.