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Finding the Fourth Proportional to 460.51, 690.81 and 152.35

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Solution

The fourth proportional to 460.51, 690.81 and 152.35 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 690.81 = 152.35 : x
  2. Step 2: Convert to fraction form
    460.51/690.81 = 152.35/x
  3. Step 3: Cross multiply
    460.51x = 690.81 × 152.35
  4. Step 4: Simplify right side
    460.51x = 105,244.90
  5. Step 5: Solve for x
    x = 105,244.90/460.51
  6. Step 6: Final answer
    x = 228.54

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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.