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Finding the Fourth Proportional to 406.95, 606.72 and 368.07

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Solution

The fourth proportional to 406.95, 606.72 and 368.07 is: 548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.95 : 606.72 = 368.07 : x
  2. Step 2: Convert to fraction form
    406.95/606.72 = 368.07/x
  3. Step 3: Cross multiply
    406.95x = 606.72 × 368.07
  4. Step 4: Simplify right side
    406.95x = 223,315.43
  5. Step 5: Solve for x
    x = 223,315.43/406.95
  6. Step 6: Final answer
    x = 548.75

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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.