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Finding the Fourth Proportional to 328.13, 451.40 and 288.08

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Solution

The fourth proportional to 328.13, 451.40 and 288.08 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 451.40 = 288.08 : x
  2. Step 2: Convert to fraction form
    328.13/451.40 = 288.08/x
  3. Step 3: Cross multiply
    328.13x = 451.40 × 288.08
  4. Step 4: Simplify right side
    328.13x = 130,041.16
  5. Step 5: Solve for x
    x = 130,041.16/328.13
  6. Step 6: Final answer
    x = 396.31

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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.