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Finding the Fourth Proportional to 360.11, 537.58 and 305.45

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Solution

The fourth proportional to 360.11, 537.58 and 305.45 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.11 : 537.58 = 305.45 : x
  2. Step 2: Convert to fraction form
    360.11/537.58 = 305.45/x
  3. Step 3: Cross multiply
    360.11x = 537.58 × 305.45
  4. Step 4: Simplify right side
    360.11x = 164,203.81
  5. Step 5: Solve for x
    x = 164,203.81/360.11
  6. Step 6: Final answer
    x = 455.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.