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Finding the Fourth Proportional to 208.51, 287.84 and 152.06

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Solution

The fourth proportional to 208.51, 287.84 and 152.06 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.51 : 287.84 = 152.06 : x
  2. Step 2: Convert to fraction form
    208.51/287.84 = 152.06/x
  3. Step 3: Cross multiply
    208.51x = 287.84 × 152.06
  4. Step 4: Simplify right side
    208.51x = 43,767.89
  5. Step 5: Solve for x
    x = 43,767.89/208.51
  6. Step 6: Final answer
    x = 209.91

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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.