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Finding the Fourth Proportional to 420.91, 581.13 and 263.77

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Solution

The fourth proportional to 420.91, 581.13 and 263.77 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.91 : 581.13 = 263.77 : x
  2. Step 2: Convert to fraction form
    420.91/581.13 = 263.77/x
  3. Step 3: Cross multiply
    420.91x = 581.13 × 263.77
  4. Step 4: Simplify right side
    420.91x = 153,283.21
  5. Step 5: Solve for x
    x = 153,283.21/420.91
  6. Step 6: Final answer
    x = 364.17

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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.