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Finding the Fourth Proportional to 287.51, 432.95 and 206.91

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Solution

The fourth proportional to 287.51, 432.95 and 206.91 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.51 : 432.95 = 206.91 : x
  2. Step 2: Convert to fraction form
    287.51/432.95 = 206.91/x
  3. Step 3: Cross multiply
    287.51x = 432.95 × 206.91
  4. Step 4: Simplify right side
    287.51x = 89,580.65
  5. Step 5: Solve for x
    x = 89,580.65/287.51
  6. Step 6: Final answer
    x = 311.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.