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Finding the Fourth Proportional to 541.02, 746.58 and 319.98

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Solution

The fourth proportional to 541.02, 746.58 and 319.98 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 746.58 = 319.98 : x
  2. Step 2: Convert to fraction form
    541.02/746.58 = 319.98/x
  3. Step 3: Cross multiply
    541.02x = 746.58 × 319.98
  4. Step 4: Simplify right side
    541.02x = 238,890.67
  5. Step 5: Solve for x
    x = 238,890.67/541.02
  6. Step 6: Final answer
    x = 441.56

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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.