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Finding the Fourth Proportional to 355.02, 530.47 and 216.97

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Solution

The fourth proportional to 355.02, 530.47 and 216.97 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.02 : 530.47 = 216.97 : x
  2. Step 2: Convert to fraction form
    355.02/530.47 = 216.97/x
  3. Step 3: Cross multiply
    355.02x = 530.47 × 216.97
  4. Step 4: Simplify right side
    355.02x = 115,096.08
  5. Step 5: Solve for x
    x = 115,096.08/355.02
  6. Step 6: Final answer
    x = 324.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.