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Finding the Fourth Proportional to 270.59, 373.58 and 208.30

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Solution

The fourth proportional to 270.59, 373.58 and 208.30 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 373.58 = 208.30 : x
  2. Step 2: Convert to fraction form
    270.59/373.58 = 208.30/x
  3. Step 3: Cross multiply
    270.59x = 373.58 × 208.30
  4. Step 4: Simplify right side
    270.59x = 77,816.71
  5. Step 5: Solve for x
    x = 77,816.71/270.59
  6. Step 6: Final answer
    x = 287.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.