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Finding the Fourth Proportional to 515.01, 710.54 and 293.81

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Solution

The fourth proportional to 515.01, 710.54 and 293.81 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.01 : 710.54 = 293.81 : x
  2. Step 2: Convert to fraction form
    515.01/710.54 = 293.81/x
  3. Step 3: Cross multiply
    515.01x = 710.54 × 293.81
  4. Step 4: Simplify right side
    515.01x = 208,758.74
  5. Step 5: Solve for x
    x = 208,758.74/515.01
  6. Step 6: Final answer
    x = 405.35

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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.