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Finding the Fourth Proportional to 518.19, 715.08 and 291.06

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Solution

The fourth proportional to 518.19, 715.08 and 291.06 is: 401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 715.08 = 291.06 : x
  2. Step 2: Convert to fraction form
    518.19/715.08 = 291.06/x
  3. Step 3: Cross multiply
    518.19x = 715.08 × 291.06
  4. Step 4: Simplify right side
    518.19x = 208,131.18
  5. Step 5: Solve for x
    x = 208,131.18/518.19
  6. Step 6: Final answer
    x = 401.65

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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.