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Finding the Fourth Proportional to 360.32, 497.15 and 210.90

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Solution

The fourth proportional to 360.32, 497.15 and 210.90 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 497.15 = 210.90 : x
  2. Step 2: Convert to fraction form
    360.32/497.15 = 210.90/x
  3. Step 3: Cross multiply
    360.32x = 497.15 × 210.90
  4. Step 4: Simplify right side
    360.32x = 104,848.94
  5. Step 5: Solve for x
    x = 104,848.94/360.32
  6. Step 6: Final answer
    x = 290.99

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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.