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Finding the Fourth Proportional to 154.64, 228.80 and 154.16

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Solution

The fourth proportional to 154.64, 228.80 and 154.16 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 228.80 = 154.16 : x
  2. Step 2: Convert to fraction form
    154.64/228.80 = 154.16/x
  3. Step 3: Cross multiply
    154.64x = 228.80 × 154.16
  4. Step 4: Simplify right side
    154.64x = 35,271.81
  5. Step 5: Solve for x
    x = 35,271.81/154.64
  6. Step 6: Final answer
    x = 228.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.