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Finding the Fourth Proportional to 464.79, 696.88 and 152.40

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Solution

The fourth proportional to 464.79, 696.88 and 152.40 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 696.88 = 152.40 : x
  2. Step 2: Convert to fraction form
    464.79/696.88 = 152.40/x
  3. Step 3: Cross multiply
    464.79x = 696.88 × 152.40
  4. Step 4: Simplify right side
    464.79x = 106,200.27
  5. Step 5: Solve for x
    x = 106,200.27/464.79
  6. Step 6: Final answer
    x = 228.49

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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.