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Finding the Fourth Proportional to 107.58, 160.47 and 90.57

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Solution

The fourth proportional to 107.58, 160.47 and 90.57 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 160.47 = 90.57 : x
  2. Step 2: Convert to fraction form
    107.58/160.47 = 90.57/x
  3. Step 3: Cross multiply
    107.58x = 160.47 × 90.57
  4. Step 4: Simplify right side
    107.58x = 14,533.77
  5. Step 5: Solve for x
    x = 14,533.77/107.58
  6. Step 6: Final answer
    x = 135.10

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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.