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Finding the Fourth Proportional to 216.48, 298.32 and 210.08

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Solution

The fourth proportional to 216.48, 298.32 and 210.08 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 298.32 = 210.08 : x
  2. Step 2: Convert to fraction form
    216.48/298.32 = 210.08/x
  3. Step 3: Cross multiply
    216.48x = 298.32 × 210.08
  4. Step 4: Simplify right side
    216.48x = 62,671.07
  5. Step 5: Solve for x
    x = 62,671.07/216.48
  6. Step 6: Final answer
    x = 289.50

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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.