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Finding the Fourth Proportional to 555.68, 833.40 and 209

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Solution

The fourth proportional to 555.68, 833.40 and 209 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.68 : 833.40 = 209 : x
  2. Step 2: Convert to fraction form
    555.68/833.40 = 209/x
  3. Step 3: Cross multiply
    555.68x = 833.40 × 209
  4. Step 4: Simplify right side
    555.68x = 174,180.60
  5. Step 5: Solve for x
    x = 174,180.60/555.68
  6. Step 6: Final answer
    x = 313.45

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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.