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Finding the Fourth Proportional to 208.30, 312.56 and 100.08

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Solution

The fourth proportional to 208.30, 312.56 and 100.08 is: 150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 312.56 = 100.08 : x
  2. Step 2: Convert to fraction form
    208.30/312.56 = 100.08/x
  3. Step 3: Cross multiply
    208.30x = 312.56 × 100.08
  4. Step 4: Simplify right side
    208.30x = 31,281.00
  5. Step 5: Solve for x
    x = 31,281.00/208.30
  6. Step 6: Final answer
    x = 150.17

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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.