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Finding the Fourth Proportional to 336.24, 501.86 and 282.32

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Solution

The fourth proportional to 336.24, 501.86 and 282.32 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.24 : 501.86 = 282.32 : x
  2. Step 2: Convert to fraction form
    336.24/501.86 = 282.32/x
  3. Step 3: Cross multiply
    336.24x = 501.86 × 282.32
  4. Step 4: Simplify right side
    336.24x = 141,685.12
  5. Step 5: Solve for x
    x = 141,685.12/336.24
  6. Step 6: Final answer
    x = 421.38

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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.