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Finding the Fourth Proportional to 420.93, 581.04 and 246.51

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Solution

The fourth proportional to 420.93, 581.04 and 246.51 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 581.04 = 246.51 : x
  2. Step 2: Convert to fraction form
    420.93/581.04 = 246.51/x
  3. Step 3: Cross multiply
    420.93x = 581.04 × 246.51
  4. Step 4: Simplify right side
    420.93x = 143,232.17
  5. Step 5: Solve for x
    x = 143,232.17/420.93
  6. Step 6: Final answer
    x = 340.28

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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.