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Finding the Fourth Proportional to 406.02, 560.76 and 362.28

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Solution

The fourth proportional to 406.02, 560.76 and 362.28 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.76 = 362.28 : x
  2. Step 2: Convert to fraction form
    406.02/560.76 = 362.28/x
  3. Step 3: Cross multiply
    406.02x = 560.76 × 362.28
  4. Step 4: Simplify right side
    406.02x = 203,152.13
  5. Step 5: Solve for x
    x = 203,152.13/406.02
  6. Step 6: Final answer
    x = 500.35

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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.