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Finding the Fourth Proportional to 649.04, 973.08 and 216.08

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Solution

The fourth proportional to 649.04, 973.08 and 216.08 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 973.08 = 216.08 : x
  2. Step 2: Convert to fraction form
    649.04/973.08 = 216.08/x
  3. Step 3: Cross multiply
    649.04x = 973.08 × 216.08
  4. Step 4: Simplify right side
    649.04x = 210,263.13
  5. Step 5: Solve for x
    x = 210,263.13/649.04
  6. Step 6: Final answer
    x = 323.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.