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Finding the Fourth Proportional to 152.19, 228.42 and 71.07

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Solution

The fourth proportional to 152.19, 228.42 and 71.07 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 228.42 = 71.07 : x
  2. Step 2: Convert to fraction form
    152.19/228.42 = 71.07/x
  3. Step 3: Cross multiply
    152.19x = 228.42 × 71.07
  4. Step 4: Simplify right side
    152.19x = 16,233.81
  5. Step 5: Solve for x
    x = 16,233.81/152.19
  6. Step 6: Final answer
    x = 106.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.