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Finding the Fourth Proportional to 157.98, 235.64 and 153.18

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Solution

The fourth proportional to 157.98, 235.64 and 153.18 is: 228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 235.64 = 153.18 : x
  2. Step 2: Convert to fraction form
    157.98/235.64 = 153.18/x
  3. Step 3: Cross multiply
    157.98x = 235.64 × 153.18
  4. Step 4: Simplify right side
    157.98x = 36,095.34
  5. Step 5: Solve for x
    x = 36,095.34/157.98
  6. Step 6: Final answer
    x = 228.48

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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.