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Finding the Fourth Proportional to 435.58, 656.37 and 360.24

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Solution

The fourth proportional to 435.58, 656.37 and 360.24 is: 542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.58 : 656.37 = 360.24 : x
  2. Step 2: Convert to fraction form
    435.58/656.37 = 360.24/x
  3. Step 3: Cross multiply
    435.58x = 656.37 × 360.24
  4. Step 4: Simplify right side
    435.58x = 236,450.11
  5. Step 5: Solve for x
    x = 236,450.11/435.58
  6. Step 6: Final answer
    x = 542.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.