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Finding the Fourth Proportional to 59.10, 89.10 and 56.40

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Solution

The fourth proportional to 59.10, 89.10 and 56.40 is: 85.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 89.10 = 56.40 : x
  2. Step 2: Convert to fraction form
    59.10/89.10 = 56.40/x
  3. Step 3: Cross multiply
    59.10x = 89.10 × 56.40
  4. Step 4: Simplify right side
    59.10x = 5,025.24
  5. Step 5: Solve for x
    x = 5,025.24/59.10
  6. Step 6: Final answer
    x = 85.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.