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Finding the Fourth Proportional to 430.44, 644.16 and 367.08

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Solution

The fourth proportional to 430.44, 644.16 and 367.08 is: 549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 644.16 = 367.08 : x
  2. Step 2: Convert to fraction form
    430.44/644.16 = 367.08/x
  3. Step 3: Cross multiply
    430.44x = 644.16 × 367.08
  4. Step 4: Simplify right side
    430.44x = 236,458.25
  5. Step 5: Solve for x
    x = 236,458.25/430.44
  6. Step 6: Final answer
    x = 549.34

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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.