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Finding the Fourth Proportional to 515.15, 710.64 and 340.19

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Solution

The fourth proportional to 515.15, 710.64 and 340.19 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.15 : 710.64 = 340.19 : x
  2. Step 2: Convert to fraction form
    515.15/710.64 = 340.19/x
  3. Step 3: Cross multiply
    515.15x = 710.64 × 340.19
  4. Step 4: Simplify right side
    515.15x = 241,752.62
  5. Step 5: Solve for x
    x = 241,752.62/515.15
  6. Step 6: Final answer
    x = 469.29

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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.