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Finding the Fourth Proportional to 58.05, 87.03 and 45.99

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Solution

The fourth proportional to 58.05, 87.03 and 45.99 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 87.03 = 45.99 : x
  2. Step 2: Convert to fraction form
    58.05/87.03 = 45.99/x
  3. Step 3: Cross multiply
    58.05x = 87.03 × 45.99
  4. Step 4: Simplify right side
    58.05x = 4,002.51
  5. Step 5: Solve for x
    x = 4,002.51/58.05
  6. Step 6: Final answer
    x = 68.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.