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Finding the Fourth Proportional to 215.08, 293.08 and 210.07

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Solution

The fourth proportional to 215.08, 293.08 and 210.07 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 293.08 = 210.07 : x
  2. Step 2: Convert to fraction form
    215.08/293.08 = 210.07/x
  3. Step 3: Cross multiply
    215.08x = 293.08 × 210.07
  4. Step 4: Simplify right side
    215.08x = 61,565.85
  5. Step 5: Solve for x
    x = 61,565.85/215.08
  6. Step 6: Final answer
    x = 286.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.