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Finding the Fourth Proportional to 59.98, 83.15 and 56.30

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Solution

The fourth proportional to 59.98, 83.15 and 56.30 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.98 : 83.15 = 56.30 : x
  2. Step 2: Convert to fraction form
    59.98/83.15 = 56.30/x
  3. Step 3: Cross multiply
    59.98x = 83.15 × 56.30
  4. Step 4: Simplify right side
    59.98x = 4,681.35
  5. Step 5: Solve for x
    x = 4,681.35/59.98
  6. Step 6: Final answer
    x = 78.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.