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Finding the Fourth Proportional to 42.77, 58.98 and 30.50

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Solution

The fourth proportional to 42.77, 58.98 and 30.50 is: 42.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.77 : 58.98 = 30.50 : x
  2. Step 2: Convert to fraction form
    42.77/58.98 = 30.50/x
  3. Step 3: Cross multiply
    42.77x = 58.98 × 30.50
  4. Step 4: Simplify right side
    42.77x = 1,798.60
  5. Step 5: Solve for x
    x = 1,798.60/42.77
  6. Step 6: Final answer
    x = 42.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.