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Finding the Fourth Proportional to 157.61, 235.06 and 143.94

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Solution

The fourth proportional to 157.61, 235.06 and 143.94 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 235.06 = 143.94 : x
  2. Step 2: Convert to fraction form
    157.61/235.06 = 143.94/x
  3. Step 3: Cross multiply
    157.61x = 235.06 × 143.94
  4. Step 4: Simplify right side
    157.61x = 33,835.06
  5. Step 5: Solve for x
    x = 33,835.06/157.61
  6. Step 6: Final answer
    x = 214.67

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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.