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Finding the Fourth Proportional to 245.35, 368.00 and 153.77

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Solution

The fourth proportional to 245.35, 368.00 and 153.77 is: 230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.35 : 368.00 = 153.77 : x
  2. Step 2: Convert to fraction form
    245.35/368.00 = 153.77/x
  3. Step 3: Cross multiply
    245.35x = 368.00 × 153.77
  4. Step 4: Simplify right side
    245.35x = 56,586.71
  5. Step 5: Solve for x
    x = 56,586.71/245.35
  6. Step 6: Final answer
    x = 230.64

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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.