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Finding the Fourth Proportional to 328.94, 491.00 and 290.02

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Solution

The fourth proportional to 328.94, 491.00 and 290.02 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.94 : 491.00 = 290.02 : x
  2. Step 2: Convert to fraction form
    328.94/491.00 = 290.02/x
  3. Step 3: Cross multiply
    328.94x = 491.00 × 290.02
  4. Step 4: Simplify right side
    328.94x = 142,400.55
  5. Step 5: Solve for x
    x = 142,400.55/328.94
  6. Step 6: Final answer
    x = 432.90

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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.