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Finding the Fourth Proportional to 518.51, 715.51 and 282.46

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Solution

The fourth proportional to 518.51, 715.51 and 282.46 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 715.51 = 282.46 : x
  2. Step 2: Convert to fraction form
    518.51/715.51 = 282.46/x
  3. Step 3: Cross multiply
    518.51x = 715.51 × 282.46
  4. Step 4: Simplify right side
    518.51x = 202,100.08
  5. Step 5: Solve for x
    x = 202,100.08/518.51
  6. Step 6: Final answer
    x = 389.77

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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.