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Finding the Fourth Proportional to 152.58, 210.21 and 105.87

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Solution

The fourth proportional to 152.58, 210.21 and 105.87 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 210.21 = 105.87 : x
  2. Step 2: Convert to fraction form
    152.58/210.21 = 105.87/x
  3. Step 3: Cross multiply
    152.58x = 210.21 × 105.87
  4. Step 4: Simplify right side
    152.58x = 22,254.93
  5. Step 5: Solve for x
    x = 22,254.93/152.58
  6. Step 6: Final answer
    x = 145.86

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Why These Related Problems?

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