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Finding the Fourth Proportional to 433.18, 646.04 and 368.59

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Solution

The fourth proportional to 433.18, 646.04 and 368.59 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 646.04 = 368.59 : x
  2. Step 2: Convert to fraction form
    433.18/646.04 = 368.59/x
  3. Step 3: Cross multiply
    433.18x = 646.04 × 368.59
  4. Step 4: Simplify right side
    433.18x = 238,123.88
  5. Step 5: Solve for x
    x = 238,123.88/433.18
  6. Step 6: Final answer
    x = 549.71

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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.