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Finding the Fourth Proportional to 460.32, 690.58 and 152.19

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Solution

The fourth proportional to 460.32, 690.58 and 152.19 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 690.58 = 152.19 : x
  2. Step 2: Convert to fraction form
    460.32/690.58 = 152.19/x
  3. Step 3: Cross multiply
    460.32x = 690.58 × 152.19
  4. Step 4: Simplify right side
    460.32x = 105,099.37
  5. Step 5: Solve for x
    x = 105,099.37/460.32
  6. Step 6: Final answer
    x = 228.32

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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.