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Finding the Fourth Proportional to 369.01, 509.45 and 328.01

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Solution

The fourth proportional to 369.01, 509.45 and 328.01 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.01 : 509.45 = 328.01 : x
  2. Step 2: Convert to fraction form
    369.01/509.45 = 328.01/x
  3. Step 3: Cross multiply
    369.01x = 509.45 × 328.01
  4. Step 4: Simplify right side
    369.01x = 167,104.24
  5. Step 5: Solve for x
    x = 167,104.24/369.01
  6. Step 6: Final answer
    x = 452.84

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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.